Billingsley felt a popping sensation 10 days ago in a Minor League rehab assignment. After letting the discomfort dissipate, he resumed throwing off a mound Tuesday but cut short the bullpen session after eight pitches because of elbow tightness.

"We're going to slow him down a little bit, but it's good news," manager Don Mattingly said.

There is no timetable on when Billingsley will resume throwing off a mound.